搜索结果: 1-15 共查到“知识库 数学 topology”相关记录54条 . 查询时间(0.062 秒)
An interesting example of a compact Hausdorff space that is often presented in beginning courses in topology is the unit square [0, 1]× [0, 1] with the lexicographic order topology. The closed subspac...
ALGEBRAIC STRUCTURES ON THE TOPOLOGY OF MODULI SPACES OF CURVES AND MAPS
MODULI SPACES CURVES AND MAPS
2015/7/14
We discuss selected topics on the topology of moduli spaces
of curves and maps, emphasizing their relationwith GromovWitten theory and integrable systems
THE BASIC TOPOLOGY MODEL OF SPHERICAL SURFACE DIGITAL SPACE
SGDM manifold spherical surface digital space
2015/7/6
SGDM (Sphere Grid Data Model) is an efficient method to deal with the global data because of the advantages of multi-resolution and
hierarchy. However, SGDM has no distinct descriptions and lack of r...
USING LATTICE TOPOLOGY INFORMATION TO INVESTIGATE PERSISTENT SCATTERERS AT FACADES IN URBAN AREAS
High resolution SAR Urban Pattern Data Fusion
2014/4/24
Modern spaceborne SAR sensors like TerraSAR-X offer ground resolution of up to one meter in range and azimuth direction. Buildings, roads, bridges, and other man-made structures appear in such data of...
Topology of probability measure spaces, II
Topology of probability measure spaces General Topology
2012/6/29
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors $\hat P$ and $P_\tau$ of spaces of probability $\tau$-smooth and Rado...
$Top(X)$ within $\px$ ]{When lattices meet topology: $Top(X)$ within $\px$.}
$Top(X)$ within $\px$ lattices meet topology
2012/2/29
For a non-empty set $X$, the collection $Top(X)$ of all topologies on $X$ sits inside the Boolean lattice $\PP(\PP(X))$ (when ordered by set-theoretic inclusion) which in turn can be naturally identif...
Distance Functions, Critical Points, and Topology for Some Random Complexes
Distance function critical points Morse index Cech complex Poisson process central limit theorem Betti numbers
2011/9/20
Abstract: For a finite set of points $P$ in $R^d$, the function $d_P:R^d \to R_+$ measures Euclidean distance to the set $P$. We study the number of critical points of $d_P$ when $P$ is random. In par...
Change of Topology in Mean Convex Mean Curvature Flow
Change of Topology Mean Convex Mean Curvature Flow Differential Geometry
2011/9/19
Abstract: Consider the mean curvature flow of an (n+1)-dimensional, compact, mean convex region in Euclidean space (or, if n<7, in a Riemannian manifold). We prove that elements of the m-th homotopy g...
Nonstandard Analysis in Topology
nonstandard extension monad transfer principle saturation principle nonstandard hull compactifications realcompactification
2011/9/13
Abstract: We present Nonstandard Analysis by three axioms: the {\em Extension, Transfer and Saturation Principles} in the framework of the superstructure of a given infinite set. We also present sever...
The symplectic topology of projective manifolds with small dual
The symplectic topology projective manifolds small dual Algebraic Geometry
2011/8/22
Abstract: We study smooth projective varieties with small dual variety using methods from symplectic topology. We prove the affine parts of such varieties are subcritical, and that the hyperplane clas...
Minimizing Average Interference through Topology Control
Wireless Sensor Networks Interference Minimization Topology Control Combinatorial Optimization
2012/12/4
Reducing interference is one of the main challenges in wireless communication. To minimize interference through topology control in wireless sensor networks is a well-known open algorithmic problem. I...
The paper is an informal report on joint work with Stefan Haller on Dynamics in relation with Topology and Spectral Geometry. By dynamics one means a smooth vector field on a closed smooth manifold; t...
Self-intersections in combinatorial topology: statistical structure
closed curves surfaces self-intersection central limit theorem Markov chain
2011/1/17
Oriented closed curves on an orientable surface with boundary are described up to continuous deformation by reduced cyclic words in the generators of the fundamental group and their inverses.
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure.